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Search: id:A058018
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| A058018 |
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Difference between LCM(1,...,x) and first prime >= LCM(1,...,x), where x is a prime power. |
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+0
2
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| 1, 1, 1, 1, 1, 1, 13, 1, 13, 31, 23, 19, 1, 41, 1, 31, 43, 1, 41, 53, 79, 59, 1, 59, 61, 113, 97, 179, 73, 73, 97, 103, 101, 109, 1, 229, 109, 139, 113, 227, 131, 191, 163, 1, 199, 151, 139, 1, 223, 229, 367, 239, 499, 251, 509, 251, 227, 373, 281, 233, 283, 229, 277, 263
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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The first value corresponds to x = 1, LCM(1) = 1.
For the first 100 prime powers, the value is either prime or 1.
The values of x are taken to be prime powers so that each distinct LCM occurs exactly once.
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EXAMPLE
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The 6th distinct prime power is 8, LCM(1,...,8)=840 and 853
is the first prime that follows, thus a(6)=853-840=13.
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CROSSREFS
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Cf. A058017, A003418, A051451, A000961.
Sequence in context: A111738 A010235 A010236 this_sequence A037283 A094709 A040181
Adjacent sequences: A058015 A058016 A058017 this_sequence A058019 A058020 A058021
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 14 2000
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EXTENSIONS
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Edited by Frank Adams-Watters, Aug 15 2006
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